Finite Group Databasebeta

← Group #11785824

Character table — Group #11785824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122222223344446666666666666634444666666612121212121212121212121212121212444412121212121212121212121212121212121212121212121222444466668888121212121212121224242424242424244412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-11111-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1ii−i−i-1-1-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1−i−iii-1-1-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1-1-111ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161-1-1111-1-11111-1-11-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1-1-111−i−iii1111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-222222222222222200002222222-2-2-200000000-2-2-2-2-22222222222220000-2-2-2-200000000-2-20000-2-2-2-200000000000000000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000222200000000000000000000000000000000
χ19222222222-122222222-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222222-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100001111111100000000000000000000
χ21222222222-122222222-1-1-1-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-122211111111-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-100001111111100000000000000000000
χ22222222222-122222222-1-1-1-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-122211111111-1-1-1-12-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222211110000-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2−i3−i3i3i3−i3−i3i3i31111-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000011110000−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2−i3−i3i3i3−i3−i3i3i31111-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i3220000-1-1-1-10000i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2i3i3−i3−i3i3i3−i3−i31111-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000011110000i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-22222-1-1-1-122-1-12-1-10000-1-1-1-1-1-1-1-2-2-2i3i3−i3−i3i3i3−i3−i31111-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i3220000-1-1-1-10000−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1-12222-1-122-12-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000222200000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1-12222-1-122-12-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000011111111-2-21111000000
χ2922222222-122222-1-1-1-12222-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-10000000000001111-1-1-1-1111111110000000000222200000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1-12222-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-10000000000001111-1-1-1-1111111110000000000-2-2-2-2000000001111111122-1-1-1-1000000
χ3122-22-2-22-2220000-22-2-222-2-2-222-22-220000-222-2-2-2200000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000002−22−20000000022−2−222−2−2000000−i2i2−i2i200
χ3222-22-2-22-2220000-22-2-222-2-2-222-22-220000-222-2-2-2200000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000−22−2200000000−2−222−2−222000000i2−i2i2−i200
χ3322-22-2-22-2220000-22-2-222-2-2-222-22-220000-222-2-2-220000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000002−22−20000000022−2−222−2−2000000i2−i2i2−i200
χ3422-22-2-22-2220000-22-2-222-2-2-222-22-220000-222-2-2-220000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−22−2200000000−2−222−2−222000000−i2i2−i2i200
χ3522-2-22-2-22222-22-2-222-22-22-22-2-22-2-222i−2i2i−2i-22-22-22-22-2-22i−2i2i−2i2i−2i2i−2i2-22-220000000000002i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ3622-2-22-2-22222-22-2-222-22-22-22-2-22-2-22−2i2i−2i2i-22-22-22-22-2-2−2i2i−2i2i−2i2i−2i2i2-22-22000000000000−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ3722-2-22-2-2222-22-22-222-22-22-22-2-22-2-220000-22-22-22-2-22200000000-22-22-20000000000000000-22-2200000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3822-2-22-2-2222-22-22-222-22-22-22-2-22-2-220000-22-22-22-2-22200000000-22-22-20000000000000000-22-220000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3922-2-22-2-222-12-22-2-222-2-11-112-21-1-21-12i−2i2i−2i1-11-11-112-2-2−ii−ii−ii−ii-11-1120000−i3i3−i3i3−i3i3−i3i32i−2i2i−2i-11-11−ii−ii−ii−ii000000−i3i3−i3i300003−3−333−3−3300000000000000000000
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χ4222-2-22-2-222-12-22-2-222-2-11-112-21-1-21-1−2i2i−2i2i1-11-11-112-2-2i−ii−ii−ii−i-11-1120000i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i-11-11i−ii−ii−ii−i000000i3−i3i3−i300003−3−333−3−3300000000000000000000
χ4322-2-22-2-222-1-22-22-222-2-11-112-21-1-21-100001-11-11-11-2223−3−333−3−331-11-1-20000−i3i3−i3i3−i3i3−i3i300001-11-13−3−333−3−33002i−2i2i−2ii3−i3i3−i30000−ii−ii−ii−ii00000000000000000000
χ4422-2-22-2-222-1-22-22-222-2-11-112-21-1-21-100001-11-11-11-2223−3−333−3−331-11-1-20000i3−i3i3−i3i3−i3i3−i300001-11-13−3−333−3−3300−2i2i−2i2i−i3i3−i3i30000i−ii−ii−ii−i00000000000000000000
χ4522-2-22-2-222-1-22-22-222-2-11-112-21-1-21-100001-11-11-11-222−333−3−333−31-11-1-20000−i3i3−i3i3−i3i3−i3i300001-11-1−333−3−333−300−2i2i−2i2ii3−i3i3−i30000i−ii−ii−ii−i00000000000000000000
χ4622-2-22-2-222-1-22-22-222-2-11-112-21-1-21-100001-11-11-11-222−333−3−333−31-11-1-20000i3−i3i3−i3i3−i3i3−i300001-11-1−333−3−333−3002i−2i2i−2i−i3i3−i3i30000−ii−ii−ii−ii00000000000000000000
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χ4822-2-22-2-22-122-22-21-1-112-22-2-11-221-2-12i−2i2i−2i1-11-11-11-1112i−2i2i−2i2i−2i2i−2i2-22-2-1000000000000−ii−ii-11-11−ii−ii−ii−ii0000000000000000000000i3−i3i3−i3i3−i3i3−i300−33−33000000
χ4922-2-22-2-22-122-22-21-1-112-22-2-11-221-2-1−2i2i−2i2i1-11-11-11-111−2i2i−2i2i−2i2i−2i2i2-22-2-1000000000000i−ii−i-11-11i−ii−ii−ii−i0000000000000000000000−i3i3−i3i3−i3i3−i3i300−33−33000000
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χ522-222-2-2-22220000-2-222-2-222-222-2-2-220000-2-2-222-2200000000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i20000002−2−2200
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χ552-22-22-22-2222-2-22-2-2-22-22-222-2-222-222i−2i−2i2i-2-22-222-22-222i−2i2i−2i−2i2i−2i2i2-2-22-20000000000002i−2i−2i2i2-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ562-22-22-22-2222-2-22-2-2-22-22-222-2-222-22−2i2i2i−2i-2-22-222-22-22−2i2i−2i2i2i−2i2i−2i2-2-22-2000000000000−2i2i2i−2i2-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ572-22-22-22-222-222-2-2-2-22-22-222-2-222-220000-2-22-222-2-22-200000000-222-220000000000000000-222-200000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ582-22-22-22-222-222-2-2-2-22-22-222-2-222-220000-2-22-222-2-22-200000000-222-220000000000000000-222-20000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
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χ632-22-22-22-22-1-222-2-2-2-221-11-12-21-121-1000011-11-1-11-22-23−3−33−333−31-1-1120000−i3i3−i3i3i3−i3i3−i300001-1-113−3−33−333−3002i−2i−2i2ii3−i3−i3i30000−ii−iii−ii−i00000000000000000000
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χ10144-4-44-4-44-2-24-44-42-2-22-22-22-222-2221−4i4i−4i4i-11-11-11-1-2222i−2i2i−2i2i−2i2i−2i-22-22-20000000000002i−2i2i−2i1-11-1−ii−ii−ii−ii000000000000000000000000000000000000000000
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χ1104-44-44-44-4-2-24-4-44222-22-22-2-222-2-221−4i4i4i−4i-1-11-111-1-22-22i−2i2i−2i−2i2i−2i2i-222-220000000000002i−2i−2i2i1-1-11−ii−iii−ii−i000000000000000000000000000000000000000000
χ1114-44-44-44-4-2-2-444-4222-22-22-2-222-2-2210000-1-11-111-12-2223−23−2323−232323−232-2-22-20000000000000000-111-1−333−33−3−33000000000000000000000000000000000000000000
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χ1144-4-4444-4-4-2-244-4-4-22222222-2-2-2-22-2144-4-41-1-1-1-111-2-22-2-2-2-22222-2-2222000000000000-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ1154-4-4444-4-4-2-244-4-4-22222222-2-2-2-22-21-4-4441-1-1-1-111-2-222222-2-2-2-2-2-222200000000000022-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ1164-4-4444-4-4-2-2-4-444-22222222-2-2-2-22-2100001-1-1-1-11122-2−2i3−2i32i32i32i32i3−2i3−2i322-2-2-20000000000000000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1174-4-4444-4-4-2-2-4-444-22222222-2-2-2-22-2100001-1-1-1-11122-22i32i3−2i3−2i3−2i3−2i32i32i322-2-2-20000000000000000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
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χ1268-8-8-8-8888-4-40000-44-444-4-444444-4-4200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).